A117803 Triangular numbers for which the sum of the digits is a cube.

0, 1, 10, 5778, 5886, 6786, 7875, 17766, 17955, 27495, 29646, 31878, 36585, 38781, 43956, 46665, 46971, 49455, 49770, 55278, 58653, 61776, 64980, 68265, 74691, 75078, 78606, 85491, 85905, 89253, 93096, 93528, 97461, 109278, 109746, 117855

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 29 2006

Keywords

• nonn
• base

Examples

			5778 is in the sequence because (1) it is a triangular number and (2) the sum of its digits 5+7+7+8=27 is a cube.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Intersection of A000217 and A059094.

Cf. A000578, A007953.

Programs

Mathematica

Select[Accumulate[Range[500]],IntegerQ[Power[Total[IntegerDigits[#]], (3)^-1]]&]  (* Harvey P. Dale, Dec 19 2010 *)
Select[Accumulate[Range[0,500]],IntegerQ[Surd[Total[IntegerDigits[#]],3]]&] (* Harvey P. Dale, Jan 08 2023 *)

Extensions

Corrected by Harvey P. Dale, Jan 08 2023